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General Relativity

  • E1-21: GRAVITATIONAL LENS OPTICAL MODEL

    E1-21
    Demonstrate optical characteristics of a gravitational lens.

    The lens shown in the top photograph above is a plano-convex lens whose focal characteristics model that of a gravitational lens. The shape of the lens, described in one of the reference articles in the reference list linked below, is seen in the photograph at the right.

    The experimental setup is shown in the second photograph. The distant "star" is formed by a hole in a piece of black paper or foil in front of a light source. The star can be moved by sliding it left-to-right along the optical rail behind the gravitational lens, in the same plane as the observer (video or other camera). Adjusting the height of the camera will put the observer slightly out of the plane of the motion of the star and axis of the gravitational lens. These cases are shown below.

    An mpeg video shows a star passing directly behind the gravitational lens, where the star is represented by a small disc of light. The camera, in the plane of the motion, records the light from the star as the star passes DIRECTLY behind the gravitational lens. The ring of light created when the distant star is EXACTLY in line with the gravitational lens and the observer is called the Einstein ring.

    Another mpeg video shows the situation where the distant star is slightly above the plane of the gravitational lens and the observer.

    This device was designed and produced by physicist Sid Liebes, an expert on gravitation and relativity, and author of several of the reference works, including both the design and application of the lens.

    This additional animated video shows what one might observe when a background galaxy passes on the opposite side of a black hole from the observer.

    E1, OM1, LS1, L6

    e1-21a e1-21b

  • P1-01: MICHELSON-MORLEY EXPERIMENT - MODEL

    P1-01
    Geometrical model of the Michelson-Morley experiment to aid explanation.
    An laser-light interferometer is set up on a cart with a screen on a long arm. Interference fringes can be seen on the screen. When the system is rotated, there is no displacement of fringes on the screen, indicating that the postulated motion of the earth with respect to the supposed "ether" does not influence the speed of light.
    FS1
  • P1-02: LOCAL INERTIAL FRAME OF REFERENCE

    P1-02
    Illustrates an inertial frame of reference

    A metal frame is suspended such that it can be held up by an electromagnet, and then drop freely onto a cushioned shock absorber. A pair of spring-powered cannon firing one-inch ball bearings are directly in line with holes in two plexiglass plates, one in the center and one on the side opposite the cannons. The second plate has sacks on the holes to collect the projectiles if they pass through the holes. Beneath the frame is a net to catch projectiles that do not go through the holes.
    Engagement Suggestion:
    • Before carrying out the experiment, encourage students to predict what will happen to the projectiles.
    • Will the level and angled cannon behave differently?
    • Once the students have seen it in action when at rest, have them make predictions again about what it will do in free fall.
    Background:

    If the frame is at rest, the projected balls fail to even go through the first set of holes because they are deflected by gravity. As they travel, they are pulled downwards, following parabolic paths with respect to the frame. If the frame is raised, held in place by an electromagnet and released, it falls with the acceleration of gravity and becomes a "local inertial frame of reference." The balls are automatically fired by a gravity switch when the frame begins to fall. The balls will travel along straight lines in the local inertial frame of reference and end up in the sacks before the frame stops on the shock absorber.

    FS0

     

     

  • P1-11: CURVATURE OF SPACE

    P1-11
    Models the effect of space curvature
    A ruled rubber sheet is stretched uniformly over a hoop, with a heavy weight placed in the center of the membrane. The lines indicate the curvature of space. Two smaller balls roll around the membrane to demonstrate the effect of curved space on moving bodies and light rays.
    P1
  • P1-12: SPACETIME DIAGRAM IN 3D - EARTH ORBITING SUN

    P1-12
    Illustrate spacetime diagram and world line concepts.

    The central pole represents the worldline of the sun (time plotted vertically) at rest. The tips of the red spokes represent the position of Earth at successive times (Connect them mentally to get the Earth world line.).

    Point out the first lecture (September on Earth) event and the last lecture (December on Earth) event.

    FS1
  • P1-13: Curvature of Spacetime Fabric - Large

    P1-13
    Models the deformation of space by mass
    A large sheet of elastic fabric is stretched over a supported frame. Masses placed on the fabric will deform the space around themselves. With practice, curved paths and decaying orbits can be demonstrated.

    Note that this is a fairly large demonstration and requires some time to set up. P1-11 is recommended for smaller spaces.

    P4, FS0

    G

  • P1-14: Rotating Binary Gravitational Waves Model

    P1-14
    To illustrate the propagation of gravitational waves
    This device creates waves in a large elastic fabric. A rotating pair of spheres serves as a model source. A strobe light can be used to help view the waves,
    LS1, pending
  • P1-21: EINSTEIN'S RELATIVITY EXPERIMENT

    P1-21
    Show that electromagnetic theory obeys a relativity principle.
    Measure the current (qualitatively) in a coil when the coil and a bar magnet are in relative motion. Einstein (1905) complained that the standard conceptualization (electric forces if the magnet moves, magnetic forces if the coil moves) seems more convoluted than the phenomenon which appears the same whichever component is "at rest." In the links below, a coil is moved onto the north pole of a stationary magnet and the north pole of a moving magnet is inserted into a stationary coil. The bottom row of photos shows the reverse setup, with a coil moved onto the south pole of a magnet, and the south pole of a moving magnet inserted into a stationary coil.
    K2, J5

    p1-21ap1-21bp1-21cp1-21d